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\text{(题4)设函数}$z=z\left( x,y\right) $\text{由方程}$\left( x+1\right) z+2y\ln z-\arctan \left( xy\right) =1$\text{确定,则}$ \dfrac{\partial z}{\partial x}| \left( 0,2\right) =$
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